DDT uses the rock example for life and death to showcase that life and death are not exhaustive nor mutually exclusive therefore not true logical negations of each other.
And yet very interestingly, in that same comment of DDT that you used, he goes onto say at the last that Life and Death can indeed qualify as logical dualities, based on how the verse defines them (basically whether they define the two concepts in the logic of logical negations). Care to explain why would he say that ?
True logical negations would be mutually exclusive AND exhausts all possible scenarios that can exist. You guys have proven that the order of birth and order of abortion/termination are mutually exclusive, but the fact there exists everyday objects that can't be applied using the logic of birth and abortion disproves that the order of birth and order of abortion exhausts all possible scenarios in their logic.
A = order of birth
~A = order of abortion/termination
if for a rock, A is false (aka not born) then logically it should be ~A (aborted/terminated) but that is also false which breaks this logic. In the proper logical negation, where:
A = born
~A = not born
A rock is NOT born, therefore ~A. Logically this makes sense. The fact the actual negation of born is usable, and this exhausts all scenarios, proves that your order of abortion/termination in this series is NOT the logical negation of birth.
In formal logic binary pairs don't float around containing every single things in existence as a part of their domain. They all strictly follow the principle of
domain of discourse, something I can tell you aren't aware about. It's as simple as any, logical negation is about one basic proposition or event branching into only two possible scenarios (A and NEG A) - and these two possible operators specifically cover 100% of all possibilities to the particular "statement or event" at hand, not everything else in the world. That is the very reason I gave you two examples, one of which you intentionally ignored that you've got nothing to answer for that ( I have arrived and I not arrive one). Just because other randoms on the road doesn't adhere to it doesn't mean that the binary system are in the wrong, it's that you have commited a massive
category error. Substituting "non-birth" doesn't prove a truer negation, it just means you are expanding the phrasing to encompass inanimate objects that were never part of the system's architecture. A logical negation does not mean a concept has to encompass the entire universe; it means it must exhaust 100% of its specific Domain of Discourse. If you question "why isn't my calculator playing music, then it must not be a calculator", then it's as brain dead as it can get, as music playing was never a part of the domain of activities a calculator is supposed to execute (which would be addition, substraction, multiplication and division).
Your "not Born" alternative doesn't prove a truer negation either it just proves you are using a vague linguistic bucket that doesn't distinguish between an unborn entity waiting for a state change and an inanimate object that was never part of the domain to begin with. The moment you restrict the logic to its actual Domain of Discourse, which is conception, the gap vanishes entirely, and the duality is absolute.
Also another thing.
If i were to use your logic, then A rock not participating in Birth and Abortion would mean that the rock is now being considered a "paradoxical para consistent" existence that the world Orders can't recognise, because the rock breaks their logic. But that is entirely false as everything in the world is made of Order and follows it strictly. That's the very reason you see only few characters (main cast at that) that are considered to be "outside" of world Order and can resist it and not some random rock on the ground. So your category error of an argument doesn't work. A rock not participating between Birth and Abortion isn't an issue for the exact same reason a river not turning off or on doesn't make ON and OFF not a duality.
In your example you specify "the act" and "appliance", a river is neither an appliance nor can there be any act to turn it on/off therefore a river is NOT A POSSIBLE SCENARIO in your logic.
Aha ! I see, I see
Many many applauds on finding the core answer to your question !
Another error is your Neg A is NOT the logical negation of A. The logical negation of A is "the act of NOT turning an appliance ON", if the river is an appliance that could be turned ON/OFF then the default state is ~A until you have turned it ON.
Alright, let's change the phrasing a bit, say :
A = Appliance is in TURN ON mode.
Neg A = Appliance is in TURN OFF mode.
There you go, now Neg A represents exactly what you want (the act of not turning an appliance ON).
Now, can you show me a natural River, just by being river and not an "appliance" can still participate in TURN OFF and TURN ON mode ? Ig i already know your answer.
I haven't gone into fiction where I've seen characters with subjective reality "turn rivers on like an appliance" or stop rivers flowing by turning them off.
Then that just means fiction isn't nonsensical to claim that river can participate in the logical duality of Turn OFF / ON. Because logical dualities follow the domain of discourse. Furthermore there is no relevance in an ability that works on reality warping based effects, with a natural cosmological system running with logical partitions so I'm not sure where are you going with it.
It would be better if you guys can prove that the order of birth and order of abortion only exists for living conceived beings.
That's self explanatory.
That limits the possible scenarios (like you did for the river example) but means while they would be logical negations they are NOT the duality which this wiki defines for paraconsistent physiology.
Oh dang....Are you implying that logical negations are now divided into "types" of Logical negation, and this wiki follows another "kind" of logical negation ? Then what kind of principle would that stuff work on ? Also that brings me again to the very first question,
why would DT say that Life and death can qualify as logical dualities ?
Actually I don't need you to answer, to be frank, you are acting as a master cherry-picker here. You will gladly use whatever snippet supports your narrative, all while throwing out the explicit conclusions and evidence pointing directly against you right out the window. You tried to use DT's words as a support for yourself while leaving out the portion where he talks about intermediate things like rock beings brought within the context to claim that Life Death aren't logical negations, doesn't fit in and it simply means that those intermediate beings are either artificial or undead to begin with, and thus Life and Death can become dualities as per wiki's standards if the inverse definition fits the logic.